You know how my key was stuck in the Ignition?

Well I got the ignition cylinder out with the key. This may sound like a stupid question...but if the key still won't turn and come out as the cylinder is in my hand, it's just the ignition cylinder I need right?

Well actually I have the ignition cylinder out of the car itself with the key. The key should turn if the cylinder is out of the car right? Because my key still is not turning, which lead me to conclude that I need a new ignition cylinder and key. Am I right?